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arXiv · 2403.10121

Invariant submanifolds for solutions to rough differential equations

Stefan Tappe
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Abstract

In this paper we provide necessary and sufficient conditions for invariance of finite dimensional submanifolds for rough differential equations (RDEs) with values in a Banach space. Furthermore, we apply our findings to the particular situation of random RDEs driven by $Q$-Wiener processes and random RDEs driven by $Q$-fractional Brownian motion.

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Stefan Tappe. 2024-03-15. Invariant submanifolds for solutions to rough differential equations. https://doi.org/10.1142/s0219493725500030

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